Part 1: Model Numerics

1. INTRODUCTION TO NWP
   1. Types of Atmospheric Models
   2. The Primitive Equations
   3. Structure of Numerical Model
   4. Sources of Model Forecast Error
2. MODEL G RIDS AND P ROJECTIONS
   1. Map Projections
   2. Vertical Coordinate Systems
3. VERTICAL MODE DECOMPOSITION OF THE PRIMITIVE E QUATIONS
   1. The Shallow-Water Equations
   2. A Fundamental Problem in Numerical Modeling of the Atmosphere
4. FINITE D IFFERENCING TECHNIQUES
   1. Effect of Truncation Error on Derivatives
   2. Tools of the Trade
   3. Stability Analysis
   4. Simple Time Stepping Schemes
   5. Time Stepping Schemes for Atmospheric Models
   6. Energy and Mass Conservation
   7. FD Scheme Energy Conservation Checks
5. LATERAL BOUNDARY C ONDITIONS
   1. Realistic Lateral Boundary Conditions
   2. One-Way Influence BC s
   3. Two-Way Influence BC s
   4. Alternative Strategies
6. UPPER AND LOWER B OUNDARY TREATMENTS
   1. Lower boundary treatment
   2. Upper boundary treatment
7. CONSISTENT V ERTICAL AND HORIZONTAL R ESOLUTION
8. ALIASING AND NUMERICAL F ILTERING
9. OTHER KINDS OF M ODELS
   1. Spectral (Galerkin)
   2. Semi-Lagrangian

Part 2: Parameterization